\title{A List of All of My Papers}1\author{William Stein}2\date{April, 1998}3\begin{document}4\maketitle5\begin{abstract}6I sat down one night and sorted through all of my papers.7This list is the result.8\end{abstract}9\begin{verbatim}10adler, notes on flt11agash, the dual abelian variety: construction12alphabets, a list of the alphabets used in math typesetting13altman, compactifying the picard scheme14altman, kleiman, compactifying the picard scheme II15andrews, euler's pentagonal number theorem16andrews, multiple series rogers-ramanujan type identities17apostol, vu, dirichlet series related to the riemann zeta function18artin, versal deformations and algebraic stacks19artin, winters, degenerate fibres and stable reduction of curves20ash, mod p cohomology of gl(n,z) and galois representations21ash, stevens, modular forms in characteristic l and special values of their l-functions22atiya, wall, cohomology of groups, chapter 4 of cassells-frohlich = g.c. part of serre's local fields23atiyah, the role of algebraic topology in mathematics24atkin, lehner, hecke operators on gamma_0(m)25baker, an introduction to class field theory (old copy)26baker, t_1,...,t_g generating the hecke algebra27baker, wiel pairings28bashmakov, the cohomology of abelian varieties over a number field29berkeley prelim problems30bertolini, darmon, heegner points, p-adic l-functions, and the cerednik-drinfeld uniformization31bertolini, darmon, kolyvagin's descent and mordell-weil groups over ring class fields32bertolini, darmon, kolyvagin's descent and mordell-weil groups over ring class fields33bertolini, darmon, non-triviality of families of heegner poitns and ranks of selmer groups over anticyclotomic towers34besser, euler systems for higher-weight modular forms35besser, on the finiteness of sha for motives associated to modular forms36besser, on the kolyvagin cup product37birch, conjectures concerning elliptic curves38birch, cyclotomic fields and kummer extensions39birch, elliptic curves over q: a progress report40blasius, on the critical values of hecke l-series41bloch, a note on height pairings, tamagawa numbers, and the birch and swinnerton-dyer conjecture42bloch, algebraic k-theory and classfield theory for arithmetic surfaces43bosch, abelian varieties from the rigid analytic viewpoint44boston, a refinement of the faltings-serre method45boston, lenstra, ribet, quotients of group rings arising from two-dimensional representations46bremner, on diagonal cubic surfaces47bremner, on euler's quartic surface48bremner, some quartic curves with no points in any cubic field49brinkhuis, bart de smit, cyclotomic fields exercises50brownawell, masser, vanishing sums in function fields51buhler, gross, zagier, on the conjecture of birch and swinnerton-dyer for an elliptic curve of rank 3 (explicity computational stuff)52buium, differential algebraic geometry and diophantine geometry: an overview53buzzard, an email about zp tensor zp not being noetherian54buzzard, integral modesl of certain shimura curves55buzzard, letters on euler systems from kevin56buzzard, on euler systems and rubin's kolyvagin paper57buzzard, some of his thesis in a blue dossier58buzzard, summary of cyclotomic euler system stuff59cantor, computing in the jacobian of a hyperelliptic curve60cantor, on the analogue of the division polynomials for hyperelliptic curves61carlitz, a note on wolstenholme's theorem (has to do with 1+1/2+1/3+1/4+...)62casselman, on representations of gl_2 and the arithmetic of modular curves63cassels, arithmetic on curves of genus 1, I. on a conjecture of selmer.64cassels, arithmetic on curves of genus 1, III. the tate-shafarevich group and selmer groups65cassels, arithmetic on curves of genus 1, IV, proof of the hauptvermutung,66cassels, arithmetic on curves of genus 1, V. two counterexamples (order\neq index, ?), letter from bjorn poonen stapled on back67cassels, arithmetic on curves of genus 1: sha can be arbitrarily large68cassels, arithmetic on elliptic curves69cassels, guy, on the hasse principle for cubic surfaces70chai, norman, bad reduction of the seigel moduli scheme of genus two with gamma_0(p)-level structure71coates and mcconnel, iwasawa theory of modular elliptic curves of analytic rank at most 172coleman, duality for the de rham cohomology of an abelian scheme73coleman, effective chabauty74coleman, hodge-tate periods and p-adic abelian integrals75coleman, iovita, the frobenius and monodromy operators for curves and abelian varieties76coleman, p-adic pertubations and modular forms77coleman, torsion points on modular curves78colloit-thelene, swinnerton-dyer, hasse principle and weak approximation for pencils of severi-brauer and similar varieties79coray, algebraic points on cubic hypersurfaces80csirik, list of spectral sequences references81csirik, on the characteristic polynomials of the hecke operator t_2 on s_k(sl_2(z),c)82csirik, qualifying exam syllabus83daberkow, fieker, kluners, pohst, roegner, schornig, wildanger, kant v4: (a paper on kant!)84darmon, euler systems and refined conjectures of birch and swinnerton-dyer type85darmon, faltings plus epsilon, wiles plus epsilon, and the generalized fermat equation86darmon, hyperelliptic curves, hilbert modular forms, and fermat's last theorem87darmon, merel, winding quotients and some variants of fermat's last theorem88darmon, notes to me about genus one curves89debarre, klassen, points of low degree on smooth plane curves90delign, mumford, the irreducibility of the space of curves of given genus91delign, rapoport, les schemas de modules de courbes elliptiques92deligne, varietes abeliennes ordinaires sur un corps fini93diamond, kramer, modularity of a family of elliptic curves94diamond, the refined conjecture of serre95diamond, the taylor-wiles construction and multiplicity one96edixhoven, neron models and tame ramification97edixhoven, rational torsion points on elliptic curves over number fields [after kamienny and mazur]98edixhoven, serre's conjecture99edixhoven, the weight in serre's conjectures on modular forms100ekedahl, on supersingular curves and abelian varieties101elkies, math 259: introduction to analytic number theory102elkies, on a^4+b^4+c^4=d^4 (he finds infinitely many solutions on it disproving a case of an euler conjecture)103elkies, the existence of infinitely many supersingular primes for every elliptic curve over q104ellis, the story of non-secret encryption (looks like notes for a talk on public key cryptosystems)105estrada-sarlabous, on the jacobian varieties of picard curves defined over fields of characteristic p>0106falk, some papers and emails on hyperplane arrangements107fermigier, zeros des fonctions l de courbes elliptiques108flach, a finiteness theorem for the symmetric square of an elliptic curve109flach, a generalisation of the cassels-tate pairing110fontaine, formes differentielles et modules de tate des varieties abeliennes sur les corps locaux111fontaine, letter to jannsen in which he proves that his conjecture about p-adic monodromy is really true112fontaine, messing, p-adic periods and p-adic etale cohomology113fontaine, messing, p-aidc periods and p-adic etale cohomology114frey, construction and arithmetical applications of modular forms of low weight115frietag, kiehl, etale cohomology and the weil conjectures (just up to page 25 or so)116geemen, kallen, top, verberkmoes, hecke eigenforms in the cuspidal cohomology of the congruence subgroups of sl(3,z)117gelbart, automorphic forms and artin's conjecture118goldman, millson, eichler-shimura homology and the finite generation of cusp forms by hyperbolic poincare series119gonzalez, hasse-witt matrices for the fermat curves of prime degree120gross, a tameness criterion for galois representations associated to modular forms (mod p)121gross, kolyvagin's work on modular elliptic curves122gross, rohrlich, some results on the mordell-weil group of the jacobian of the fermat curve123gross, zagier, heegner points and derivatives of l-series (just the start and end...)124grothendieck, fondements de la geometrie algebrique, extraits du sem. bourbaki, 1957-62 (it looks hard, whatever it is...)125gruenberg, profinite groups (chapter 5 of cassels-frohlich)126handouts, AMS BeNeLux Congress, the antwerp joint ams meeting in belgium, summer 1996.127handouts, abc conjecture workshop, tucson, march 1998128handouts, conference: seattle mathfest129handouts, conference: symposium on the riemann hypothesis (in seattle, right after mathfest)130handouts, from the dc conference, spring 1996131handouts, jami conference at john hopkins, march 97132handouts, newton institute and cambridge, march 1998133handouts, notes, lille conference in france, summer 1996134handouts, winter 1997 ams meeting, san diego135handouts/notes, asilomar, winter 1995136harase, on the index-period problem for algebraic curves and abelian varieties137harris, higgins, prime generators with parabolic limits138hartshorne, math reviews of many of his papers139hijikata, explicit formula for the trace of hecke operators for gamma_0(n)140howe, large torsion subgroups of split jacobians of curves of genus 2 or 3 (handouts for berkeley nts)141howe, leprevost, poonen, large torsion subgroups of split jacobians of curves of genus two or three142howe, leprevost, poonen, large torsion subgroups of split jacobians of curves of genus two or three143ibukiyama, katsura, on the field of definition of superspecial polarized abelian varieties and type numbers144igusa, on local zeta functions145iwasawa, a note on kumer extensions146jones, diophantine representation of mersenne and fermat primes147jones, sato, wada, wiens, diophantine representation of the set of prime numbers148kamienny, torsion points on elliptic curves and q-coefficients of modular forms149kamienny, torsion points on elliptic curves over all quadratic fields150kanevsky, applications of the conjecture on the manin obstruction to various diophantine problems151kaplansky, quadratic forms152kaskel, list of elliptic curves references153kaskel, the adelic image of galois associated to j_0(37)154kato, generalization of class field theory155katz, lang, finitentess theorems in geometric classfield theory156katz, p-adic properties of modular schemes and modular forms157klassen, schaeffer, arithmetic and geometry of the curve y^3+1=x^4158kneser, semi-simple algebraic groups (chapter 10 of cassels-frohlich)159koblitz, a family of jacobians suitable for discrete log cryptosystems160koblitz, hyperelliptic cryptosystems161koblitz, jacobi sums, irreducible zeta-polynomials, and cryptography162koblitz, p-adic variation of the zeta-function over families of varieties defined over finite fields163kodama, a family of hyperelliptic function fields with hasse-witt-invariant zero164kohel, ph.d. thesis, endomorphism rings of elliptic curves over finite fields165kolyvagin, euler systems (in the grothendieck feitschrift)166kolyvagin, finiteness of e(q) and sha(e,q) for a subclass of weil curves167kolyvagin, logachev, finiteness of sha over totally real fields168kolyvagin, logachev, finiteness of the shafarevich-tate group and the group of rational points for some modular abelian varieties169kolyvagin, on the mordell-weil and shafarevich-tate groups for weil elliptic curves170kolyvagin, on the structure of selmer groups171kolyvagin, on the structure of selmer groups172kolyvagin, on the structure of shafarevich-tate groups (in slnm 1479)173kramer, special cycles on shimura varieties of odd orthogonal groups, the theta-correspondence and hecke actions174lam, representation theory problems175lang (william lang), extremal rational elliptic surfaces in characteristic p176lang, hiv ? aids, have we been misled?177lang, on the zeta function of number fields178lang, tate, principal homogeneous spaces over abelian varieties179lang, tate, principal homogeneous spaces over abelian varieties180lang, units and class groups in number theory and algebraic geometry181langlands, modular forms and l-adic representations182langlands, on the zeta-functions of some simple shimura varieties183langlands, shimura varieties and the selberg trace formula184larsen, two-dimensional systems of galois representations185lenstra, complex multiplication structure of elliptic curves186lenstra, math 254b: class field theory, problems187lenstra, oort, abelian varieties having purely additive reduction188lenstra, oort, zarhin, abelian subvarieties189lenstra, primality testing and artin symbols190lewis, candid camera: some pictures of number theorists in 1969 (including kubota, dwork, iwasawa, selberg, baker, hpfs-d, mahler)191lichtenbaum, duality theorems for curves over p-adic fields192lichtenbaum, duality theorems for curves over p-adic fields (copy 2)193lichtenbaum, the period-index problem for elliptic curves194logachev, kolyvagin's method for shimura varieties: new type of euler systems. I.195manin, cyclotomic fields and modular curves196manin, mathematics as metaphor + a fairly good copy of a picture of him on the cover197manin, the hasse-witt matrix of an algebraic curve198marchisotto, zakeri, an invitation to integration in finite terms199mason, diophantine equations over function fields200mazur, a survey/expository paper on questions of decidaility and undecidability in number theory201mazur, arithmetic on curves (looks like a great survey article)202mazur, floppy disk, euler systems lecture notes for course, spring 1998203mazur, questions about numbers204mazur, rational points of abelian varieties with values in towers of number fields205mazur, rational points of abelian varieties with values in towers of number fields (copy 2)206mazur, swinnerton-dyer, arithmetic of weil curves207mazur, tate, teitelbaum, on p-adic analogues of the conjectures of birch and swinnerton-dyer208mazur, the topology of rational points209mccallum, duality theorems for neron models210mccallum, kolyvagin's work on shafarevich-tate groups211mccallum, on the method of coleman and chabauty212merel, bornes pour la torsion des courbes elliptiques sur les corps de nombres213merel, the arithmetic of elliptic curves and diophantine equations214mestre, constructions polynomiales et theorie de Galois215miller, ezra, qualifying exam syllabus216milne, on the arithmetic of abelian varieties217milne, on the arithmetic of abelian varieties218milne, on the arithmetic of abelian varieties219milne, shimura varieties: the geometry side of the zeta function220milnor, algebraic k-theory of quadratic forms221moret-bailly, diophantine and moduli problems over rings of algebraic integers, notes by jeff achter222murty, elliptic curves and modular forms223murty, the notion of a shimura variety224nagao, on the rank of elliptic curve y^2=x^3-kx225nagashima, on rational points of algebraic curves of genus one226nagashima, on rational points of algebraic curves of genus one227nakagawa, horie, elliptic curves with no rational points228nguyen, letter to me about a question oi asked him on zeros of power series with rational coefficients229nguyen, the theory of (adult) drawings230nguyen, the transcendence of e and pi231notes and solutions, serganova's 261232notes, alevras, 185, complex analysis233notes, coleman's 254a234notes, fred teti's 202a topology class, notes and exercises235notes, fred teti's notes from when he took hartshorne's 256a.236notes, matt baker's qualifying exam review notes237notes, my noes on mat 261a, lie groups238notes, ogus, notes by kirsten on ogus 254a course239notes, rubin, notes of popescu on karl rubin's ohio state course on euler systems240nygaard, slopes of powers of frobenius on crystalline cohomology241oort, hyperelliptic supersingular curves242oort, moduli of abelian varieties in positive characteristic243pizer, an algorithm for computing modular forms on gamma_0(n)244poonen, computational aspects of curves of genus at least 2245poonen, congruences relating the order of a group to the number of conjugacy classes246poonen, schaefer, explicit descent for jacobians of cyclic covers of the projective line247poonen, torsion in rank 1 drinfeld modules and the uniform boundedness conjecture248raynaud, schemas en groupes de type (p,...,p)249ribenboim, consecutive powers250ribenboim, recent results about fermat's last theorem251ribenboim, review of weil's number theory, an approach through history from hammurapi to legendre252ribet, a modular construction of unramified p-extensions of q(mu_p)253ribet, a modular construction of unramified p-extensions of q(mu_p) (copy 2)254ribet, from the taniyama-shimura conjecture to fermat's last theorem (proof of TS-->FLT)255ribet, galois representations and modular forms256ribet, hayes, fermat's last theorem and modern arithmetic (in the american scientist)257ribet, irreducible galois representations arising from component groups of jacobians258ribet, lowering the levels of modular representations without multiplicity one259ribet, multiplicities of p-finite mod p galois representations in j_0(Np)260ribet, on modular representations of gal(qbar/q) arising from modular forms261ribet, on the equation a^p+2^alpha b^p + c^p = 0262ribet, parametrizations of elliptic curves by shimura curves and by classical modular forms, handout for the dc conference)263ribet, report on mod l representations of gal(qbar/q)264risch, the problem of integration in finite terms265risch, the solution of the problem of integration in finite terms266rohrlich, modular curves, hecke correspondences, and l-functions267roquette, analytic theory of elliptic functions over local fields268roquette, isomorphisms of generic splitting fields of simple algebras269roquette, on the galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras270rosenlicht, integration in finite terms271rosenlicht, some basic theorems on algebraic groups272rubin, appendix to lang's cyclo fields on the main conjecture273rubin, descents on elliptic curves and complex multiplication274rubin, elliptic curves with complex multiplication and the conjecture of birch and swinnerton-dyer275rubin, euler systems and modular elliptic curves276rubin, lower bounds for selmer groups277rubin, p-adic l-functions and rational points on elliptic curves with complex multiplication278rubin, review of rubins sln 1399 article.279rubin, the work of kolyvagin on the arithmetic of elliptic curves280rubin, the work of kolyvagin on the arithmetic of elliptic curves (copy 2)281saito, arithmetic on two dimensional local rings282sansuc, principe de hasse, surfaces cubiques et intersections de deux quadriques283sarnak, my notes from his berkeley talks (the rufus bowen lectures)284schaefer, class groups and selmer groups285schaefer, computing a selmer group of a jacobian using functions on the curve286schaefer, letter to me on how to compute e(q), april, 1997287segal, on the automorphism groups of certain lie algebras288serre, a big photo copy of a photo of him289serre, cohomologie et geometrie algebrique290serre, cohomology and algebraic geometry (i translated this from french to english)291serre, local class field theory (chapter 6 of cassels-frohlich)292serre, proprietes conjecturales des groupes de galois motiviques et des representations l-adiques293serre, proprietes galoisiennees des points d'ordre fini des courbes elliptiques294serre, seminar on complex multiplication295serre, sur les representations modulaires de degre 2 de gal(qbar/q)296serre, tate, good reduction of abelian varieties297serre, zeta and l functions298shalit, the explicit reciprocity law in local class field theory299shatz, the cohomology of certain elliptic curves over local fields and quasi-local fields300shimura, on abelian varieties with complex multiplication301shiu, counting sums of two squares: the meissel-lehmer method302siksek, on serre's equation: x^4+y^4=17z^4, (he proves that the 8 rational points are all of them)303silverberg, explicit families of elliptic curves with prescribed mod n representations304silverberg, generic abelian varieties: the unitary case305silverberg, points of finite order on abelian varieties306silverberg, zarhin, semistable reduction of abelian varietes over extensions of small degree307silverman, chapter X of AEC I, computing the mordell-weil group308silverman, the cubic thue equation309silverman, the s-unit equation over function fields310smirnov, hurwitz inequalities for number fields311stein, 'solutions', fall 96 lim p_n/p_{n+1}, stephen's question, closure of subgroup of algebraic group312stein, a manilla envelope of stuff i thought about in 1995313stein, doodles314stein, euro floppy disk, summer 1997, in hotel canada folder315stein, genus one curves of arbitrary index, rough notes, summer 97316stein, hartshorne's homological algebra, notes and solutions to exercises317stein, hecke algebras, modular forms, and flt, notes from ribet's math 274, spring 1996318stein, my handout on the proof of the main conjecture of iwasawa theory319stein, my notes for when i talk math 55: discrete mathematics, at uc berkeley, summer 1997320stein, my notes from a talk of lenstra on group cohomology and galois descent, dec 96.321stein, my notes of a meeting with him in his office in august, 1997. i asked about explicitly computing on jacobians322stein, my notes of peter stevenhagen's talk on generating class fields using shimura reciprocity, march 1997323stein, my notes on karl rubin's berkeley colloquium talk on euler systems, feb 1998324stein, my spring 97 yellow pad, contains notes from the jami conference in baltimore325stein, my yellow notebook april-may 1997, pacific northwest n.t. conference, greenberg, vaius, darmon, edixhoven, ribet, loic326stein, my yellow notebook july- 1997, penn state conference327stein, my yellow notebook may-june 1997, euro diary, examples328stein, notes about a question tom tucker asked me, fall 97329stein, notes for 254b, typeset in tex.330stein, notes from 256a and 254a, fall 96331stein, notes from a talk of joe wetherell on his thesis332stein, notes from a talk of vasiu on points of integral canonical models of shimura varieites of preabelian type (11/97)333stein, notes from abc conjecture workshop, tucson, march 1998334stein, notes from my talk on tate-shafarevich groups of elliptic curves, spring 1997335stein, notes from my talk on the main conjecture of iwasawa theory, spring 1997336stein, notes from the newton institute, rational points, march 1998337stein, notes of a talk by lawren smithline on divided power structures for coleman's 274 course, fall 97338stein, notes on genus one curves of prespecified index339stein, notes on jacobians of genus one curves, worked out in belgium, summer 97, good thing to write up340stein, notes on one of darmon's berkeley talk on p-adic l-functions, april 1996.341stein, notes on ribet's paper on a modular construction of unramified p-extensions of q(mu_p), student arithmetic geometry seminar, fall 97342stein, notes on serre's galois cohomology343stein, notes on sharpness344stein, parity structures, a letter to david moulton about some elementary combinatorial idea which could be something.345stein, qual review book, fall 97346stein, qual review sheets347stein, reading notes and pages of handy facts (quick reference cards)348stein, some doodles about weil pairings, fall 97, good start for something to write up349stein, source code from my eichler-selberg trace formula program, march 1998350stein, stuff i thought about at nau351stein, the math book, summer 97352stein, the symmetric powers of a curve, 10/97353stein, yellow pad of doodles and notes, fall 97.354stevenhagen, lenstra, chebotarev and his density theorem355stoppie, notes on the eichler-selberg trace formula following zagier's method (unpublished and a bit secret)356swan, zero cycles on quadric hypersurfaces357swinnerton-dyer, applications of algebraic geometry to number theory358swinnerton-dyer, arithmetic of diagonal quartic surfaces, II (newton institute preprint)359swinnerton-dyer, on l-adic representations and congruences for coefficients of modular forms360swinnerton-dyer, rational points on certain intersections of two quadrics361swinnerton-dyer, rational points on pencils of conics and on pencils of quadrics362ta notes, math 54, with lenstra363tankeev, on weights of l-adic representations364tanner, wagstaff, new congruences for the bernoulli numbers365tate, duality theorems in galois cohomology over number fields366tate, endomorphisms of abelian varieties over finite fields367tate, galois cohomology of abelian varieties over p-adic fields368tate, p-divisible groups, from proceedings of a conference on local fields, 1966369tate, rigid analytic spaces370tate, rigid analytic spaces371tate, the arithmetic of elliptic curves372tate, voloch, linear forms in p-adic roots of unity373tate, wc-groups over p-adic fields374taylor, in harvard magazine, exclusive interview with richard taylor375taylor, l-adic representations associated to modular forms over imaginary quadatic fields. II376taylor, representations of galois groups associated to modular forms377thomas, vasquez, a family of elliptic curves and cyclic cubic field extensions378ulmer, l-function of universal elliptic curves over igusa curves379van den bergh, the algebraic index of a division algebra380van der geer, van der vlugt, how to construct curves over finite fields with many points381van der poorten, some wonderful formulas... an introduction to polylogarithms382vasiu, points of integral canonical models of shimura varieties of preabelian type and the langlands-rapoport conjture, part I383vojta, notes for his book on arithmetic varieties384voloch, diagonal equations over function fields385voloch, diophantine approximation on abelian varieties in characteristic p386voloch, diophantine gometry in characteristic p: a survey387voloch, primitive points on constant elliptic curves over function fields388wada, a table of hecke operators. II389washington, chapter 15 of cyclotomic fields. the main conjecture and annihiliation of class groups390weil, on algebraic groups and homogeneous spaces391wetherell, bounding the number of rational points through the arithmetic of covers392wetherell, long letter to me about how to find the special fiber of the neron model of an an elliptic curve393wetherell, ph.d. thesis, bounding the number of rational points on certain curves of high rank394wiles, bibliography395wiles, modular curves and the class group of q(zeta_p)396wiles, modular forms, elliptic curves, and fermat's last theorem397wingberg, on the etal k-theory of an elliptic curve with complex multiplication for regular primes398xing, on supersingular abelian varieties of dimension two over finite fields399yates, sinkers of the titanics (a short paper on primality and factoring)400yoshida, abelian varieties with complex multiplication and representations of the weil group401zagier, modular points, modular curves, modular surfaces and modular forms402zajta, on the solution of the diophantine equation A^3+B^3+C^3+D^3=0403zhu, ph.d. thesis, supersingular abelian varieties over finite fields404405\end{verbatim}406\end{document}407408